Robust vibration control of structures - simulations and experiments

This paper presents a robust vibration controller design method in frequency domain, which is realized by minimizing an H-2 performance criterion with constrains of H-2, H-infinity norms, and the controller poles. All information required for the controller design can be experimentally measured. Frequency discretization is employed to make the design available in an interest frequency range. This design method is applied to designing robust vibration controllers for a sting vibration control of a helicopter test-bed, a mass-adjustable torsional beam, and a mass-adjustable cascaded beam, respectively. Simulations are conducted for the sting vibration control of the helicopter test-bed, and experiments are performed on the two beams. Satisfactory vibration reduction and robustness are demonstrated for the sting increasing its first two natural frequencies of 100% or decreasing 30%, for the torsional beam changing its first natural frequency of 10%, and for the cascaded beam changing its first two natural frequencies of 20%.